Cindy had 75 less lollipops than Anna. Anna used
56 of her lollipops and Cindy used
23 of her lollipops. In the end, Anna had 3 times as much as Cindy. Find the number of lollipops that Anna had at first.
|
Anna |
Cindy |
Comparing Anna and Parry at first |
|
75 less |
Before |
6x3 = 18 u |
3 u |
Change |
- 5x3 = - 15 u |
- 2 u |
After |
1x3 = 3 u |
1 u |
Comparing Anna and Parry in the end |
3 u |
1 u |
The number of lollipops that Anna had in the end is repeated. Make the number of lollipops that Anna had in the end the same. LCM of 1 and 3 is 3.
Number of lollipops that Cindy had less than Anna
= 18 u - 3 u
= 15 u
15 u = 75
1 u = 75 ÷ 15 = 5
Number of lollipops that Anna had at first
= 18 u
= 18 x 5
= 90
Answer(s): 90